Rate of Change

Front

What is the definition of 'Rate of Change'?

Back

The rate of change is a measure of how a quantity changes in relation to another quantity, often expressed as a ratio or a fraction.

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

Front

How do you calculate the rate of change?

Back

Rate of change = (Change in value) / (Change in time) or (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If a car travels 60 miles in 1 hour, what is its rate of change in speed?

Back

The rate of change in speed is 60 miles per hour.

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that the quantity is decreasing over time.

Tags

CCSS.HSF-LE.A.1B

Front

If the water level is decreasing at a rate of 0.25 meters per hour, how much will it decrease in 4 hours?

Back

It will decrease by 1 meter (0.25 meters/hour * 4 hours).

Tags

CCSS.HSF-LE.A.1B

Front

What is the significance of the slope in a graph?

Back

The slope represents the rate of change; a steeper slope indicates a greater rate of change.

Tags

CCSS.8.EE.B.5

Front

What is an example of a real-life situation that involves rate of change?

Back

The speed of a car, the growth of a plant, or the decrease in water level in a tank.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the formula for the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

If a population of a city increases from 10,000 to 12,000 in 5 years, what is the rate of change?

Back

The rate of change is 400 people per year ((12,000 - 10,000) / 5 years).

Tags

CCSS.HSF-LE.A.1B

Front

What does it mean if the rate of change is constant?

Back

It means that the quantity changes at a steady rate over time.

Tags

CCSS.HSF-LE.A.1B